145220720171536 has 45 divisors (see below), whose sum is σ = 298891304635719. Its totient is φ = 68338776809472.

The previous prime is 145220720171521. The next prime is 145220720171539. The reversal of 145220720171536 is 635171027022541.

The square root of 145220720171536 is 12050756.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14508145809936 + 130712574361600 = 3808956^2 + 11432960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145220720171539) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 819362800 + ... + 819540016.

Almost surely, 2^{145220720171536} is an apocalyptic number.

145220720171536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145220720171536 is the 12050756-th square number.

It is an amenable number.

145220720171536 is an abundant number, since it is smaller than the sum of its proper divisors (153670584464183).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145220720171536 is an frugal number, since it uses more digits than its factorization.

145220720171536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354476 (or 177236 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 145220720171536 in words is "one hundred forty-five trillion, two hundred twenty billion, seven hundred twenty million, one hundred seventy-one thousand, five hundred thirty-six".